Finding the Third Proportional to 12,380 and 25,408

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 25,408 = 25,408 : x
2. Step 2: Convert to fraction form
   12,380/25,408 = 25,408/x
3. Step 3: Cross multiply
   12,380x = 25,408 × 25,408
4. Step 4: Simplify right side
   12,380x = 645,566,464
5. Step 5: Solve for x
   x = 645,566,464/12,380
6. Step 6: Final answer
   x = 52,145.92